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Finding the Third Proportional to 745,265.81 and 1,182,048.19

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Solution

The third proportional to 745,265.81 and 1,182,048.19 is: 1,874,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,265.81 : 1,182,048.19 = 1,182,048.19 : x
  2. Step 2: Convert to fraction form
    745,265.81/1,182,048.19 = 1,182,048.19/x
  3. Step 3: Cross multiply
    745,265.81x = 1,182,048.19 × 1,182,048.19
  4. Step 4: Simplify right side
    745,265.81x = 1,397,237,917,572.04
  5. Step 5: Solve for x
    x = 1,397,237,917,572.04/745,265.81
  6. Step 6: Final answer
    x = 1,874,818.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.